Instantons revisited: dynamical tunnelling and resonant tunnelling

Starting from trace formulae for the tunnelling splittings (or decay rates) analytically continued in the complex time domain, we obtain explicit semiclassical expansions in terms of complex trajectories that are selected with appropriate complex-time paths. We show how this instanton-like approach, which takes advantage of an incomplete Wick rotation, accurately reproduces tunnelling effects not only in the usual double-well potential but also in situations where a pure Wick rotation is insufficient, for instance dynamical tunnelling or resonant tunnelling. Even though only one-dimensional autonomous Hamiltonian systems are quantitatively studied, we discuss the relevance of our method for multidimensional and/or chaotic tunnelling

Modelling Nitrogen Uptake in Winter Oilseed Rape by Using Influx Kinetics of Nitrate Transport Systems

A mechanistic model was proposed in order to predict nitrogen uptake by a culture of oilseed rape (Brassica napus L.), using independently measured characteristics of plants growing in hydroponic or under field conditions. Uptake kinetics of the different components (Constitutive and Inducible) of the Low and High Affinity Transport Systems of nitrate (CLATS, ILATS, CHATS and IHATS, respectively) were determined by 15NO3- labelling in controlled conditions. The use of kinetic equations of transport systems and the experimental field data from the INRA-Châlons rape databank allowed to model NO3- uptake during the plant growth cycle. The study of different factors such as root temperature, day/night cycle and ontogenetic stages on NO3- uptake rate has been undertaken in order to improve the model prediction. Model outputs show that the high affinity transport system (HATS) accounted for about 90 % of total NO3- uptake (20 and 70 % for CHATS and IHATS without fertilization, respectively). The low affinity transport system (LATS) accounted for a minor proportion of total N uptake, and its activity was restricted to the early phase of the growth cycle. However, N autumnal fertilization increased the duration of its contribution (from 67 to 100 days) to total N uptake

Tunneling dynamics in exactly-solvable models with triple-well potentials

Inspired by new trends in atomtronics, cold atoms devices and Bose-Einstein condensate dynamics, we apply a general technique of N=4 extended Supersymmetric Quantum Mechanics to isospectral Hamiltonians with triple-well potentials, i.e. symmetric and asymmetric. Expressions of quantum-mechanical propagators, which take into account all states of the spectrum, are obtained, within the N = 4 SQM approach, in the closed form. For the initial Hamiltonian of a harmonic oscillator, we obtain the explicit expressions of potentials, wavefunctions and propagators. The obtained results are applied to tunneling dynamics of localized states in triple-well potentials and for studying its features. In particular, we observe a Josephson-type tunneling transition of a wave packet, the effect of its partial trapping and a non-monotonic dependence of tunneling dynamics on the shape of a three-well potential. We investigate, among others, the possibility of controlling tunneling transport by changing parameters of the central well, and we briefly discuss potential applications of this aspect to atomtronic devices.Comment: Latex, 28 pages, 7 Figs, 2 Tables; minor presentation changes, journal versio

A primer for resonant tunnelling

Resonant tunnelling is studied numerically and analytically with the help of a three-well quantum one-dimensional time-independent model. The simplest cases are considered where the three-well potential is polynomial or piecewise constant.Comment: accepted to EJP, 19 pages, 8 figure

Observations en microscopie électronique à balayage sur la famille des

L’étude du complexe tarsal de quatre genres de Spinturnicidae permet de mettre en évidence des différences génériques importantes utilisables en taxonomie. La comparaison des structures observées permet de proposer un modèle fondamental du complexe tarsal avec 9 soies et une cupule centrale (renfermant 3 microsoies) chez un Spinturnicidae évolué (genre Spinturnix). 4 soies sont secrétrices d’une substance filamenteuse sortant par des microperforations située au fond de sillons creusés dans les soies. Dans cette hypothèse sur l’évolution de la famille, le genre Eyndhovenia serait moins évolué car son complexe tarsal est moins élaboré. Puis le genre Periglischrus serait encore plus primitif avec seulement une ébauche de cupule renfermant 2 microsoies. Enfin le genre le plus primitif des 4, serait le genre Paraperiglischrus qui présente seulement 7 soies et est dépourvu de cupule. Une étude plus complète ne pourra être envisagée que lorsque nous aurons terminé les observations que nous avons entreprises dans les autres genres de la famille. Nous devrons alors tenter de comprendre les fonctions des structures observées